Broue's Conjecture for 2-Blocks with Elementary Abelian Defect Groups of Order 32

authored by

Cesare Giulio Ardito, Benjamin Sambale

Abstract

The first author recently classified the Morita equivalence classes of 2-blocks of finite groups with elementary abelian defect groups of order 32. In all but three cases he proved that the Morita equivalence class determines the inertial quotient of the block. We finish the remaining cases by utilizing the theory of lower defect groups. As a corollary, we verify Broué’s Abelian Defect Group Conjecture in this situation.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

External Organisation(s)

City University London

Type

Article

Journal

Advances in Group Theory and Applications

Volume

12

Pages

71-78

No. of pages

8

ISSN

2499-1287

Publication date

12.2021

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Algebra and Number Theory

Electronic version(s)

https://doi.org/10.32037/agta-2021-012 (Access: Open)